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Finding the Fourth Proportional to 152,097.84, 209,825.19 and 98,400.15

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Solution

The fourth proportional to 152,097.84, 209,825.19 and 98,400.15 is: 135,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,097.84 : 209,825.19 = 98,400.15 : x
  2. Step 2: Convert to fraction form
    152,097.84/209,825.19 = 98,400.15/x
  3. Step 3: Cross multiply
    152,097.84x = 209,825.19 × 98,400.15
  4. Step 4: Simplify right side
    152,097.84x = 20,646,830,169.78
  5. Step 5: Solve for x
    x = 20,646,830,169.78/152,097.84
  6. Step 6: Final answer
    x = 135,747.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.